Finite Group Databasebeta

← #29681479

Subgroups — #29681479

Order 15616.

1814 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14519797C211yesmaximal, characteristic
2C2×#16839763C211yesmaximal, characteristic, complemented
3C2×#16839761C211yesmaximal, characteristic, complemented
4#21448407C211yesmaximal, characteristic, complemented
5#21446174C212yesmaximal, complemented
6#21446167C212yesmaximal, complemented
7#21446160C212yesmaximal, complemented
8#21446153C212yesmaximal, complemented
9C2×#16839524C211yesmaximal, characteristic, complemented
10#21445516C211yesmaximal, characteristic, complemented
11C2×C61×#520C211yesmaximal, characteristic, complemented
12C22×#11758222C2211yescharacteristic
13C2×#14519797—24no—
14C2×#14519797—24no—
15C2×#14519797C418yescomplemented
16C22×#11758202C2211yescharacteristic
17C22×#11758200C2211yescharacteristic
18C22×#11758201C2211yescharacteristic
19C22×#11758199C2211yescharacteristic
20C22×#11758194C2211yescharacteristic
21C23×#92418C2211yescharacteristic
22C22×C4⋊Dic61C2211yescharacteristic
23#16839763—24no—
24#16839761—24no—
25C2×#14519701C2212yes—
26C2×#14519700C2212yes—
27C2×#14519698C2212yes—
28C2×#14519697C2212yes—
29#16839668C2212yes—
30#16839664C2212yes—
31#16839639—22no—
32#16839619—21no—
33#16839619—21no—
34#16839524C2212yes—
35#16839524C2212yes—
36#16839517C2212yes—
37#16839517C2212yes—
38C22×#41×C61C2211yescharacteristic
39C61×#520—24no—
40C61×#520—24no—
41C2×C4×Q8×C61C2212yes—
42C2×C4×D4×C61—22no—
43C2×C4×D4×C61C2212yes—
44C2×#117×C61—21no—
45C2×#117×C61C2211yescharacteristic
46C22×C4⋊C4×C61—21no—
47C22×C4⋊C4×C61C2211yescharacteristic
48C2×#11758222—22no—
49C2×#11758222—22no—
50C2×#11758222—22no—
51C2×#11758222—22no—
52C2×#11758222—22no—
53C2×#11758222C2×C414yescomplemented
54C22×Dic122C2311yescharacteristic
55C22×D244C2311yescharacteristic
56C22×C22⋊D61—21no—
57C23×Dic61—21no—
58C22×C4×D61—21no—
59#14519797—232no—
60C2×#11758202—22no—
61C2×#11758202—22no—
62C2×#11758202C2×C414yescomplemented
63C2×#11758200—22no—
64C2×#11758200—22no—
65C2×#11758200C2×C414yescomplemented
66C2×#11758201—22no—
67C2×#11758201—22no—
68C2×#11758201C2×C414yescomplemented
69C2×#11758199—22no—
70C2×#11758199—22no—
71C2×#11758199C2×C414yescomplemented
72C2×#11758194—22no—
73C2×#11758194—22no—
74C2×#11758194—22no—
75C22×#92418—22no—
76C22×#92418—22no—
77C22×#92418C2×C414yescomplemented
78C22×#92418C2312yes—
79C22×#92418C2311yescharacteristic
80C22×#92418C2311yescharacteristic
81C2×C4⋊Dic61—22no—
82C2×C4⋊Dic61—22no—
83C2×C4⋊Dic61—21no—
84C2×C4⋊Dic61C2312yes—
85C2×#11758198—22no—
86C2×#11758198—22no—
87#14519701—24no—
88#14519700—24no—
89#14519698—24no—
90#14519697—24no—
91#14519684—22no—
92#14519684—22no—
93C2×#41×C61—22no—
94C2×#41×C61—22no—
95C2×#41×C61—22no—
96C2×#41×C61C2×C414yes—
97C2×#41×C61D414yes—
98C2×#41×C61D414yes—
99C22×Q8×C61C2311yescharacteristic
100C22×D4×C61—21no—
101C22×D4×C61C2311yescharacteristic
102C23×C4×C61—21no—
103C23×C4×C61—21no—
104C23×C4×C61—22no—
105C23×C4×C61C2311yescharacteristic
106C4×Q8×C61—24no—
107C4×Q8×C61—24no—
108C4×D4×C61—216no—
109C4×D4×C61—24no—
110C4×D4×C61—24no—
111#117×C61—28no—
112#117×C61—22no—
113#117×C61—22no—
114C2×C4⋊C4×C61—28no—
115C2×C4⋊C4×C61—21no—
116C2×C4⋊C4×C61—22no—
117C2×C4⋊C4×C61—22no—
118C2×C4⋊C4×C61D411yescharacteristic
119C2×C4⋊C4×C61D411yescharacteristic
120C2×C4⋊C4×C61D414yes—
121C2×C4⋊C4×C61C2312yes—
122C2×C22⋊C4×C61—22no—
123C2×C22⋊C4×C61D412yes—
124C2×C42×C61—22no—
125C2×C42×C61C2312yes—
126C24×C61—21no—
127C24×C61C2×D411yescharacteristic
128C23×D61—21no—
129#41×C61—28no—
130#41×C61—28no—
131#41×C61—28no—
132#41×C61C22⋊C4116yescomplemented
133C2×Q8×C61—21no—
134C2×Q8×C61—21no—
135C2×Q8×C61—21no—
136C2×Q8×C61C22×C412yes—
137C2×Q8×C61C2×D412yes—
138C2×Q8×C61C2×D412yes—
139C2×D4×C61—24no—
140C2×D4×C61—24no—
141C2×D4×C61—24no—
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61C22×C412yes—
146C2×D4×C61C2×D412yes—
147C2×D4×C61C2×D412yes—
148C22×C4×C61—21no—
149C22×C4×C61—24no—
150C22×C4×C61—24no—
151C22×C4×C61—24no—
152C22×C4×C61—22no—
153C22×C4×C61—28no—
154C22×C4×C61—24no—
155C22×C4×C61—82no—
156C22×C4×C61—82no—
157C22×C4×C61—81no—
158C22×C4×C61—81no—
159C22×C4×C61C22×C412yes—
160C22×C4×C61C2×D412yes—
161C22×C4×C61C2×D412yes—
162C22×C4×C61C2×D412yes—
163C22×C4×C61C2×D412yes—
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2×D412yes—
166C22×C4×C61#4112yes—
167C22×C4×C61#4112yes—
168C22×C4×C61C2411yescharacteristic
169C2×C22⋊D61—24no—
170C2×C22⋊D61—42no—
171C2×C22⋊D61—42no—
172C22×Dic61—21no—
173C22×Dic61—22no—
174C22×Dic61—42no—
175C22×Dic61—81no—
176C22×Dic61—81no—
177#11758222—28no—
178#11758222—28no—
179#11758222—44no—
180#11758222—44no—
181C2×D244—21no—
182C2×D244—21no—
183C2×D244—21no—
184C2×D244—21no—
185C2×D244—21no—
186C2×D244C22×C412yes—
187C2×C4×D61—24no—
188C2×C4×D61—42no—
189C2×C4×D61—42no—
190C2×Dic122—21no—
191C2×Dic122—21no—
192C2×Dic122—21no—
193C2×Dic122—21no—
194C2×Dic122—21no—
195C2×Dic122C22×C412yes—
196C4⋊C4×C61—28no—
197C4⋊C4×C61—22no—
198C4⋊C4×C61—24no—
199C4⋊C4×C61—22no—
200C4⋊C4×C61—22no—
201C4⋊C4×C61C2×D414yes—
202C22⋊C4×C61—28no—
203C22⋊C4×C61—24no—
204C42×C61—28no—
205C42×C61—22no—
206C42×C61—22no—
207#11758202—28no—
208#11758201—28no—
209#11758200—28no—
210#11758199—28no—
211#11758198—82no—
212#11758198—82no—
213C4⋊Dic61—22no—
214C4⋊Dic61—22no—
215C4⋊Dic61—42no—
216#11758194—44no—
217C2×#92418—28no—
218C2×#92418—21no—
219C2×#92418—21no—
220C2×#92418—21no—
221C2×#92418—21no—
222C2×#92418—22no—
223C2×#92418—22no—
224C2×#92418—22no—
225C2×#92418C22×C412yes—
226C2×#92418C22×C412yes—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61—22no—
232C23×C61—22no—
233C23×C61—22no—
234C23×C61—41no—
235C23×C61—41no—
236C23×C61—41no—
237C23×C61—41no—
238C23×C61C4×D412yes—
239C23×C61#12012yes—
240C23×C61#12112yes—
241C23×C61C22×D411yescharacteristic
242C22×D61—22no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249Q8×C61—22no—
250Q8×C61—22no—
251Q8×C61—22no—
252Q8×C61C2×C22⋊C414yes—
253D4×C61—216no—
254D4×C61—22no—
255D4×C61—22no—
256D4×C61—22no—
257D4×C61C2×C22⋊C414yes—
258C2×C4×C61—22no—
259C2×C4×C61—22no—
260C2×C4×C61—22no—
261C2×C4×C61—216no—
262C2×C4×C61—22no—
263C2×C4×C61—22no—
264C2×C4×C61—24no—
265C2×C4×C61—22no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—22no—
269C2×C4×C61—42no—
270C2×C4×C61—42no—
271C2×C4×C61—84no—
272C2×C4×C61—88no—
273C2×C4×C61C2×C22⋊C414yes—
274C2×C4×C61C4×D414yes—
275C2×C4×C61C4×D412yes—
276C2×C4×C61#12012yes—
277C2×C4×C61#12114yes—
278C2×C4×C61#12112yes—
279C2×C4×C61#12314yes—
280C2×C4×C61C23×C411yescharacteristic
281C2×C4×C61C22×D411yescharacteristic
282C2×C4×C61C22×D411yescharacteristic
283C2×C4×C61C22×D411yescharacteristic
284C2×C4×C61C2×#4111yescharacteristic
285C2×C4×C61C2×#4111yescharacteristic
286C22⋊D61—48no—
287C2×Dic61—22no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—42no—
291C2×Dic61—42no—
292C2×Dic61—42no—
293C2×Dic61—84no—
294D244—22no—
295D244—22no—
296D244—41no—
297D244—41no—
298C4×D61—48no—
299Dic122—22no—
300Dic122—22no—
301Dic122—41no—
302Dic122—41no—
303#92418—22no—
304#92418—22no—
305#92418—42no—
306#20937—611nomaximal, Sylow
307C22×C61—22no—
308C22×C61—22no—
309C22×C61—22no—
310C22×C61—22no—
311C22×C61—22no—
312C22×C61—22no—
313C22×C61—24no—
314C22×C61—42no—
315C22×C61—42no—
316C22×C61—42no—
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61#38614yes—
321C22×C61C2×C4×D411yescharacteristic
322C22×C61C2×#12011yescharacteristic
323C22×C61C2×#12111yescharacteristic
324C22×C61#57611yescharacteristic
325C22×C61#57711yescharacteristic
326C22×C61#57711yescharacteristic
327C22×C61#57811yescharacteristic
328C2×D61—42no—
329C2×D61—42no—
330C2×D61—42no—
331C2×D61—81no—
332C2×D61—81no—
333C2×D61—81no—
334C2×D61—81no—
335C4×C61—24no—
336C4×C61—42no—
337C4×C61—44no—
338C4×C61—42no—
339C4×C61#38614yes—
340C4×C61C22×C22⋊C411yescharacteristic
341C4×C61C2×C4×D411yescharacteristic
342C4×C61C2×#12111yescharacteristic
343C4×C61C2×#12311yescharacteristic
344Dic61—42no—
345Dic61—82no—
346C22×#135—611no—
347C2×#520D6111yescharacteristic, complemented
348C2×#417—611no—
349C2×#417—611no—
350#2311—611no—
351#1880—612no—
352#1879—612no—
353#1878—612no—
354#1877—612no—
355C2×#340—611no—
356#1729—611no—
357C2×C61—24no—
358C2×C61—44no—
359C2×C61C2×#38611yescharacteristic
360C2×C61#295111yescharacteristic
361C2×C61#295211yescharacteristic
362C2×C61#301211yescharacteristic
363C2×C61#301311yescharacteristic
364C2×C61#304511yescharacteristic
365C2×C61#304611yescharacteristic
366D61—82no—
367C22×#41—611no—
368C22×#41C2×D6111yescharacteristic
369C2×#135—618no—
370C2×#135—1224no—
371C2×#135—1224no—
372C22×Q16—611no—
373C22×SD16—611no—
374C22×SD16—611no—
375C22×D8—611no—
376C22×M16—611no—
377C23×C8—611no—
378#520—24no—
379#520—24no—
380C2×C4×Q8C2×D6112yes—
381C2×C4×D4—22no—
382C2×C4×D4C2×D6112yes—
383C2×#117—21no—
384C2×#117C2×D6111yescharacteristic
385C22×C4⋊C4—21no—
386C22×C4⋊C4—611no—
387C22×C4⋊C4C2×D6111yescharacteristic
388#417—1224no—
389#417—1224no—
390C2×#103—612no—
391C2×#103—612no—
392C2×#102—612no—
393C2×#102—612no—
394#391—612no—
395#390—612no—
396#386—1222no—
397#380—1221no—
398#380—1221no—
399#340—612no—
400#340—612no—
401#336—612no—
402#336—612no—
403C61#2093711yescharacteristic, complemented, Sylow
404C2×#41—22no—
405C2×#41—22no—
406C2×#41—22no—
407C2×#41—614no—
408C2×#41—1222no—
409C2×#41—1222no—
410C2×#41—1222no—
411C2×#41—1222no—
412C2×#41—1222no—
413C2×#41C4×D6114yes—
414C2×#41D24414yes—
415C2×#41C22⋊D6114yes—
416C22×Q8—611no—
417C22×Q8C22×D6111yescharacteristic
418C22×D4—21no—
419C22×D4—611no—
420C22×D4—1221no—
421C22×D4C22×D6111yescharacteristic
422C23×C4—21no—
423C23×C4—21no—
424C23×C4—22no—
425C23×C4—1221no—
426C23×C4—1221no—
427C23×C4C22×D6111yescharacteristic
428#135—12232no—
429C2×Q16—614no—
430C2×Q16—1222no—
431C2×Q16—1222no—
432C2×SD16—614no—
433C2×SD16—614no—
434C2×SD16—1222no—
435C2×SD16—1222no—
436C2×SD16—1222no—
437C2×SD16—1222no—
438C2×D8—614no—
439C2×D8—1222no—
440C2×D8—1222no—
441C2×M16—1222no—
442C2×M16—1222no—
443C2×M16—1222no—
444C22×C8—614no—
445C22×C8—611no—
446C22×C8—611no—
447C22×C8—612no—
448C22×C8—1222no—
449C22×C8—1222no—
450C4×Q8—24no—
451C4×Q8—24no—
452C4×D4—216no—
453C4×D4—24no—
454C4×D4—24no—
455#117—28no—
456#117—22no—
457#117—22no—
458C2×C4⋊C4—28no—
459C2×C4⋊C4—21no—
460C2×C4⋊C4—22no—
461C2×C4⋊C4—22no—
462C2×C4⋊C4—612no—
463C2×C4⋊C4—1222no—
464C2×C4⋊C4—1222no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4C22⋊D6111yescharacteristic
467C2×C4⋊C4C22⋊D6111yescharacteristic
468C2×C4⋊C4C22⋊D6114yes—
469C2×C4⋊C4C22×D6112yes—
470C2×C22⋊C4—22no—
471C2×C22⋊C4—1222no—
472C2×C22⋊C4—1222no—
473C2×C22⋊C4C22⋊D6112yes—
474C2×C42—22no—
475C2×C42C22×D6112yes—
476#103—1224no—
477#103—1224no—
478#102—1224no—
479#102—1224no—
480#95—1222no—
481#95—1222no—
482C24—21no—
483C24—1221no—
484C24C2×C22⋊D6111yescharacteristic
485#41—28no—
486#41—28no—
487#41—28no—
488#41—1228no—
489#41—1228no—
490#41—2444no—
491#41—2444no—
492#41#11758198116yescomplemented
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—612no—
497C2×Q8—1221no—
498C2×Q8—1221no—
499C2×Q8—1221no—
500C2×Q8—1221no—
501C2×Q8—1221no—
502C2×Q8C2×C4×D6112yes—
503C2×Q8C2×D24412yes—
504C2×Q8C2×C22⋊D6112yes—
505C2×D4—24no—
506C2×D4—24no—
507C2×D4—24no—
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—612no—
512C2×D4—1224no—
513C2×D4—1221no—
514C2×D4—1221no—
515C2×D4—1221no—
516C2×D4—1221no—
517C2×D4—1221no—
518C2×D4—2442no—
519C2×D4—2442no—
520C2×D4C2×C4×D6112yes—
521C2×D4C2×D24412yes—
522C2×D4C2×C22⋊D6112yes—
523C22×C4—21no—
524C22×C4—24no—
525C22×C4—24no—
526C22×C4—24no—
527C22×C4—22no—
528C22×C4—28no—
529C22×C4—24no—
530C22×C4—82no—
531C22×C4—82no—
532C22×C4—81no—
533C22×C4—81no—
534C22×C4—1221no—
535C22×C4—1224no—
536C22×C4—1222no—
537C22×C4—4881no—
538C22×C4—4881no—
539C22×C4—2442no—
540C22×C4—2442no—
541C22×C4—2442no—
542C22×C4C2×C4×D6112yes—
543C22×C4C2×D24412yes—
544C22×C4#1175822212yes—
545C22×C4#1175822212yes—
546C22×C4C2×C22⋊D6112yes—
547C22×C4C2×C22⋊D6112yes—
548C22×C4C2×C22⋊D6112yes—
549C22×C4C2×C22⋊D6112yes—
550C22×C4C2×C22⋊D6111yescharacteristic
551C22×C4C23×D6111yescharacteristic
552Q16—1228no—
553SD16—1228no—
554SD16—1228no—
555D8—1228no—
556M16—2444no—
557C2×C8—612no—
558C2×C8—612no—
559C2×C8—1221no—
560C2×C8—1221no—
561C2×C8—1221no—
562C2×C8—1221no—
563C2×C8—1228no—
564C2×C8—1222no—
565C2×C8—1222no—
566C2×C8—1222no—
567C4⋊C4—28no—
568C4⋊C4—22no—
569C4⋊C4—22no—
570C4⋊C4—24no—
571C4⋊C4—22no—
572C4⋊C4—1222no—
573C4⋊C4—1222no—
574C4⋊C4—2442no—
575C4⋊C4C2×C22⋊D6114yes—
576C22⋊C4—28no—
577C22⋊C4—24no—
578C22⋊C4—4882no—
579C22⋊C4—4882no—
580C42—28no—
581C42—22no—
582C42—22no—
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—41no—
594C23—1222no—
595C23—2441no—
596C23—2441no—
597C23—2441no—
598C23—2441no—
599C23—2441no—
600C23—2441no—
601C23C4×C22⋊D6112yes—
602C23#1451974612yes—
603C23#1451975112yes—
604C23C22×C22⋊D6111yescharacteristic
605Q8—22no—
606Q8—22no—
607Q8—22no—
608Q8—1222no—
609Q8—1222no—
610Q8—2441no—
611Q8—2441no—
612Q8C2×#1175819814yes—
613D4—216no—
614D4—22no—
615D4—22no—
616D4—22no—
617D4—1222no—
618D4—1222no—
619D4—2448no—
620D4—2441no—
621D4—2441no—
622D4C2×#1175819814yes—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—216no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—84no—
637C2×C4—88no—
638C2×C4—1222no—
639C2×C4—4884no—
640C2×C4—2442no—
641C2×C4—2442no—
642C2×C4—2442no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2448no—
646C2×C4C2×#1175819814yes—
647C2×C4C4×C22⋊D6114yes—
648C2×C4C4×C22⋊D6112yes—
649C2×C4#1451974612yes—
650C2×C4#1451975114yes—
651C2×C4#1451975112yes—
652C2×C4#1451976014yes—
653C2×C4C22×C4×D6111yescharacteristic
654C2×C4C22×C22⋊D6111yescharacteristic
655C2×C4C22×C22⋊D6111yescharacteristic
656C2×C4C22×D24411yescharacteristic
657C2×C4C2×#1175822211yescharacteristic
658C2×C4C2×#1175822211yescharacteristic
659C8—1222no—
660C8—1222no—
661C8—2442no—
662C22—22no—
663C22—22no—
664C22—22no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—24no—
669C22—42no—
670C22—42no—
671C22—42no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—4881no—
676C22—4881no—
677C22—4881no—
678C22—4881no—
679C22—2442no—
680C22—2442no—
681C22—2442no—
682C22#1683964114yes—
683C22C2×C4×C22⋊D6111yescharacteristic
684C22C2×#1451974611yescharacteristic
685C22C2×#1451975111yescharacteristic
686C22#1684056511yescharacteristic
687C22#1684057011yescharacteristic
688C22#1684057311yescharacteristic
689C22#1684057711yescharacteristic
690C4—24no—
691C4—42no—
692C4—44no—
693C4—42no—
694C4—4882no—
695C4—2442no—
696C4#1683964114yes—
697C4C22×#1175819811yescharacteristic
698C4C2×C4×C22⋊D6111yescharacteristic
699C4C2×#1451975111yescharacteristic
700C4C2×#1451976011yescharacteristic
701C2—24no—
702C2—44no—
703C2—4882no—
704C2C2×#1683964111yescharacteristic
705C2#2145469211yescharacteristic
706C2#2145470011yescharacteristic
707C2#2145512311yescharacteristic
708C2#2145513411yescharacteristic
709C2#2145535811yescharacteristic
710C2#2145536911yescharacteristic
subgroupG/H
centerC23C22×C22⋊D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#520C2
socleC23×C61C22×D4
prime radicalC22×#14519797C2
cosocleC22×C4×C61C24
hypercenterC2×#520D61
hypocenterC61#20937
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#520

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×#16839763C2semidirect
3. C2×#16839761C2semidirect
4. #21448407C2semidirect
5. #21446174C2semidirect
6. #21446167C2semidirect
7. #21446160C2semidirect
8. #21446153C2semidirect
9. C2×#16839524C2semidirect
10. #21445516C2semidirect
11. C2×C61×#520C2semidirect
15. C2×#14519797C4semidirect
53. C2×#11758222C2×C4semidirect
62. C2×#11758202C2×C4semidirect
65. C2×#11758200C2×C4semidirect
68. C2×#11758201C2×C4semidirect
71. C2×#11758199C2×C4semidirect
77. C22×#92418C2×C4semidirect
132. #41×C61C22⋊C4semidirect
347. C2×#520D61semidirect
403. C61#20937semidirect
492. #41#11758198semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C22×#145197972
C2×#168397632
C2×#168397612
#214484072
#214461742
#214461672
#214461602
#214461532
C2×#168395242
#214455162
C2×C61×#5202
#2093761